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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 411, Pages 125–134 (Mi znsl5636)  
This article is cited in 1 scientific paper (total in 1 paper)

The spectrum of a perturbation of a hyperbolic toral automorphism

A. M. Levin

St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (211 kB) Citations (1)
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Abstract: In this paper, we consider a Markov operator (i.e., a contraction preserving the subspace of constants and the nonnegativity of functions) in the $L^2$ space on the $n$-dimensional torus that is a special perturbation of the unitary operator corresponding to a hyperbolic toral automorphism. We prove some properties of its spectrum and the spectrum of some related operators.
Key words and phrases: Markov operator, spectrum.
Received: 04.03.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 196, Issue 2, Pages 187–191
DOI: https://doi.org/10.1007/s10958-013-1651-8
Bibliographic databases:
Document Type: Article
UDC: 517.984.5
Language: Russian
Citation: A. M. Levin, “The spectrum of a perturbation of a hyperbolic toral automorphism”, Representation theory, dynamical systems, combinatorial methods. Part XXII, Zap. Nauchn. Sem. POMI, 411, POMI, St. Petersburg, 2013, 125–134; J. Math. Sci. (N. Y.), 196:2 (2014), 187–191
Citation in format AMSBIB
\Bibitem{Lev13}
\by A.~M.~Levin
\paper The spectrum of a~perturbation of a~hyperbolic toral automorphism
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXII
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 411
\pages 125--134
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5636}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3048273}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 196
\issue 2
\pages 187--191
\crossref{https://doi.org/10.1007/s10958-013-1651-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897039578}
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  • https://www.mathnet.ru/eng/znsl/v411/p125
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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